Find the real solution set of the following equations, inequalities, and system of equations. Please provide me a clean, readable, and understandable solution 2 + 4 x = 3 − 3 − 4 x

Question

Find the real solution set of the following equations, inequalities, and system of equations. Please provide me a clean, readable, and understandable solution      2    +    4    x    =  3  −      3    −    4    x

America Barrera · Accepted Answer

Step 1Squaringon both sides  (      2    +    4    x        )          2        =  (  3  −      3    −    4    x        )          2          2  +  4  x  =  9  +  3  −  4  x  −  6      3    −    4    x      6      3    −    4    x    =  12  −  4  x  −  2  −  4  x    6      3    −    4    x    =  10  −  8  xSquaring on both sides  (  6      3    −    4    x        )          2        =  (  10  −  8  x      )          2          36  (  3  −  4  x  )  =  100  +  64      x          2        −  160  x    108  −  144  x  =  100  +  64      x          2        −  160  x    64      x    2    −  16  x  −  8  =  0    8      x    2    −  2  x  −  1  =  0Step 2  x  =            2      ±              4        +        32                    2      (      8      )        =            2      ±      6        16      x  =            2      +      6        16       (or)               2      −      6        16      x  =      1    2       (or)               −      1        4  So the values of x are       1    2    ,               −      1        4

Find the real solution set of the following equations, inequalities, and system of equations. Please

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